Triangle read by rows, T(n,k) = binomial(n,k)*A000111(n-k), 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =2a(7) =3a(8) =3a(9) =1a(10) =5a(11) =8a(12) =6a(13) =4a(14) =1a(15) =16a(16) =25a(17) =20a(18) =10a(19) =5a(20) =1a(21) =61a(22) =96a(23) =75a(24) =40a(25) =15a(26) =6a(27) =1a(28) =272a(29) =427